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The Power of Delay on a Stochastic Epidemic Model in a Switching Environment

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  • Amine El Koufi

Abstract

In recent years, the world knew many challenges concerning the propagation of infectious diseases such as avian influenza, Ebola, SARS‐CoV‐2, etc. These epidemics caused a change in the healthy balance of humanity. Also, the epidemics disrupt the economies and social activities of countries around the world. Mathematical modeling is a vital means to represent and control the propagation of infectious diseases. In this paper, we consider a stochastic epidemic model with a Markov process and delay, which generalizes many models existing in the literature. In addition, we show the stochastic threshold for the extinction of the disease. Furthermore, numerical examples are discussed to confirm the theoretical result.

Suggested Citation

  • Amine El Koufi, 2022. "The Power of Delay on a Stochastic Epidemic Model in a Switching Environment," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:5121636
    DOI: 10.1155/2022/5121636
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    References listed on IDEAS

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    1. Cheng, Xinxin & Wang, Yi & Huang, Gang, 2021. "Global dynamics of a network-based SIQS epidemic model with nonmonotone incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. Amine El Koufi & Abdelkrim Bennar & Noura Yousfi & Eric Campos, 2021. "A Stochastic Switched Epidemic Model with Two Epidemic Diseases," Complexity, Hindawi, vol. 2021, pages 1-13, March.
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    Cited by:

    1. Amine El Koufi, 2022. "Nonlinear Stochastic SIS Epidemic Model Incorporating Lévy Process," Complexity, John Wiley & Sons, vol. 2022(1).
    2. Amine El Koufi & Nouhaila El Koufi & Abdelkrim Bennar & Namana Seshagiri Rao, 2022. "The Impact of Random Noise on the Dynamics of COVID‐19 Epidemic Model," Journal of Applied Mathematics, John Wiley & Sons, vol. 2022(1).

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